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A082888 Primes p such that (r-p)/log(p) > 3, where r is the next prime after p. 5
1129, 1327, 1669, 2179, 2477, 2971, 3137, 3271, 4297, 4831, 5119, 5351, 5531, 5591, 5749, 5953, 6491, 6917, 7253, 7759, 7963, 8389, 8467, 8893, 8971, 9551, 9973, 10009, 10399, 10531, 10799, 10909, 11743, 12163, 12853, 13063, 13187, 13933 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..1000

FORMULA

prime(j) such that (prime(j+1)-prime(j))/log(prime(j)) > 3.

EXAMPLE

If p=1327 then r=1361 and (r-p)/log(p) = 34/log(1327) = 4.72834..., so 1327 is in the sequence.

MATHEMATICA

Do[s=(Prime[n+1]-Prime[n])/Log[Prime[n]]//N; If[s>3, Print[Prime[n]]], {n, 1, 2000}]

Transpose[Select[Partition[Prime[Range[2000]], 2, 1], (Last[#]-First[#])/ Log[ First[ #]]>3&]][[1]] (* Harvey P. Dale, Apr 20 2013 *)

CROSSREFS

Cf. A082862, A082884-A082886, A082889-A082891.

Sequence in context: A278732 A278434 A198469 * A122384 A218041 A061779

Adjacent sequences:  A082885 A082886 A082887 * A082889 A082890 A082891

KEYWORD

nonn

AUTHOR

Labos Elemer, Apr 17 2003

STATUS

approved

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Last modified July 10 23:30 EDT 2020. Contains 335600 sequences. (Running on oeis4.)